Hw$01-1\mathrm{.}2-$FOE$-$SE: Problem $5$

Problem Value $10$ point$($s$).$ Problem Score $0\%$ Attempts Remaining: $15$ attempts

Hetp Entering Answers See Examples $1\mathrm{.}2\mathrm{.}6-1\mathrm{.}2\mathrm{.}12,$ in Section $1\mathrm{.}2,$ in the MTH $235$ Textbook

$(10$ points$)$

Homework: Separable Equations

Consider the initial value problem for the function $y$ given by

$y^{\text{'}}=\frac{3t}{(yy{t}^2)},y(0)=1$

$($a$)$ Find an implicit expression of all solutions $y$ of the differential equation above, in the form $(t,y)=c,$ where $c$ collects all constant terms. $($So$,$ do not include any $c$ in your answer$)$

$(t,y)=$

$($b$)$ Find the explicit expression of the solution $y$ of the initial value problem above

$y(t)=$